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6645341556736 = 2124728572
BaseRepresentation
bin110000010110011110100…
…1110010001000000000000
3212112021210021112100012121
41200230331032101000000
51332334124414303421
622044454444134024
71254052521144541
oct140547516210000
925467707470177
106645341556736
112132301079693
128b3ab3537314
133928648b94cc
1418d8c9c124c8
15b7cd9710d41
hex60b3d391000

6645341556736 has 117 divisors (see below), whose sum is σ = 13593684480709. Its totient is φ = 3248181051392.

The previous prime is 6645341556599. The next prime is 6645341556757. The reversal of 6645341556736 is 6376551435466.

It is a happy number.

The square root of 6645341556736 is 2577856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6158338560000 + 487002996736 = 2481600^2 + 697856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7754190420 + ... + 7754191276.

Almost surely, 26645341556736 is an apocalyptic number.

6645341556736 is the 2577856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6645341556736

6645341556736 is an abundant number, since it is smaller than the sum of its proper divisors (6948342923973).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6645341556736 is an frugal number, since it uses more digits than its factorization.

6645341556736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 906 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 61.

The spelling of 6645341556736 in words is "six trillion, six hundred forty-five billion, three hundred forty-one million, five hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 857 1024 1504 1714 2048 2209 3008 3428 4096 4418 6016 6856 8836 12032 13712 17672 24064 27424 35344 40279 48128 54848 70688 80558 96256 109696 141376 161116 192512 219392 282752 322232 438784 565504 644464 734449 877568 1131008 1288928 1468898 1755136 1893113 2262016 2577856 2937796 3510272 3786226 4524032 5155712 5875592 7572452 9048064 10311424 11751184 15144904 20622848 23502368 30289808 34519103 41245696 47004736 60579616 69038206 82491392 94009472 121159232 138076412 164982784 188018944 242318464 276152824 376037888 484636928 552305648 752075776 969273856 1104611296 1504151552 1622397841 1938547712 2209222592 3008303104 3244795682 3877095424 4418445184 6489591364 7754190848 8836890368 12979182728 17673780736 25958365456 35347561472 51916730912 70695122944 103833461824 141390245888 207666923648 415333847296 830667694592 1661335389184 3322670778368 6645341556736